A simple ``geometric'' mapping function for the hydrostatic delay at radio frequencies and assessment of its performance

Computer Science – Performance

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Radio Science: Atmospheric Propagation, Meteorology And Atmospheric Dynamics: Remote Sensing, Geodesy And Gravity: Space Geodetic Surveys, Atmospheric Composition And Structure: Troposphere-Composition And Chemistry

Scientific paper

The hydrostatic mapping function, m(ɛ), describes the dependence of the hydrostatic path delay on the elevation angle ɛ. We have developed a simple mapping function, where the only free parameter is an ``effective height'' of the atmosphere, Hatm, corresponding to about the first two scale heights above the surface. The value of m(ɛ) is given by the ratio of the straight-line ray path length within height Hatm to height Hatm itself. We used simulated delays at GPS (Global Positioning System) frequencies derived from high resolution ECMWF (European Centre for Medium-Range Weather Forecasts) atmospheric analysis fields to assess the performance of the ``geometric'' mapping function relative to well established ones (the Davis, Niell, and Herring mapping functions, respectively). At elevations >6° the new mapping function generally exhibits, based on a single parameter, a performance comparable to or better than the other mapping functions.

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